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OlgaM077 [116]
2 years ago
6

Determine the input that would give an output value of 2/3

Mathematics
1 answer:
Oxana [17]2 years ago
4 0

Answer:

x = 19

Step-by-step explanation:

Question: find x such that f(x) = 2/3

Given f(x) = (-1/3) x + 7

equate the value of f(x) to be 2/3

hence,

(2/3) = (-1/3)x + 7 (multiply both sides by 3)

(3) (2/3)  = (3) (-1/3)x + (3) 7

2 = -x + 21

x = 21 - 2

x = 19

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James has 3 hats, 2 pairs of shorts, and 5 shirts to chose from. If he wears exactly 1 of each item, how many different combinat
Dmitriy789 [7]
For each of the 3 choices of hat there are 2 choices of shorts. Therefore there are  3 * 2 combinations of hat and shorts. Each of these 3 * 2 combinations of hat and shorts can be combined with each of the 5 choices of shirt.
Therefore the number of combinations of 1 hat, 1 shirt and 1 pair of shorts is given by:
3\times2\times5=30\ different\ combinations.
8 0
2 years ago
Arrange the entries of matrix A in increasing order of their cofactors values
givi [52]

To find the cofactor of

A=\left[\begin{array}{ccc}7&5&3\\-7&4&-1\\-8&2&1\end{array}\right]

We cross out the Row and columns of the respective entries and find the determinant of the remaining 2\times 2 matrix with the alternating signs.


Ac_{11}=\left|\begin{array}{ccc}4&-1\\2&1\end{array}\right|


Ac_{11}=4\times 1- -1\times 2


Ac_{11}=4+ 2

Ac_{11}=6




Ac_{12}=-\left|\begin{array}{ccc}-7&-1\\-8&1\end{array}\right|


Ac_{12}=-(-7\times 1- -1\times -8)


Ac_{12}=-(-7- 8)

Ac_{12}=15




Ac_{21}=-\left|\begin{array}{ccc}5&3\\2&1\end{array}\right|


Ac_{21}=-(5\times 1- 3\times 2)


Ac_{21}=-(5-6)


Ac_{21}=1







A_c{23}=-\left|\begin{array}{ccc}7&5\\-8&2\end{array}\right|


Ac_{23}=-(7\times 2 -8\times 5)


Ac_{23}=-(14-40)


Ac_{23}=26




A_c{31}=\left|\begin{array}{ccc}5&3\\4&-1\end{array}\right|


Ac_{31}=5\times -1 -4\times 3


Ac_{31}=-5-12


Ac_{31}=-17


A_c{33}=\left|\begin{array}{ccc}7&5\\-7&4\end{array}\right|


Ac_{33}=7\times 4- -7\times 5


Ac_{33}=28+35


Ac_{33}=63


Therefore in increasing order, we have;

Ac_{31}=-17,Ac_{21}=1,Ac_{11}=6,Ac_{23}=26,Ac_{12}=15, Ac_{33}=63



7 0
2 years ago
Read 2 more answers
Rachit borrowed 15000 from his friend . He gave 3000 at the rate of 15% per annum and the remaining amount at the rate of 18% pe
White raven [17]

Answer:

Therefore he paid $10440 in 4 year.

Step-by-step explanation:

Given, Rachit borrowed $15000 from his friend. He gave $3000 at the rate 15% for 4 year.

Interest(I₁)= Prt                          here P= $3000, r=15% and t = 4 year

                =$(3000×0.15×4)

               =$1800

He gave $(15000-3000)= $12000 at the rate of 18%.

Interest(I₂)= Prt                          here P= $12000, r=18% and t = 4 year

                =$(12000×0.18×4)

                =$8640

Therefore he paid =$(1800+8640)=$10440 in 4 year.

7 0
2 years ago
Mario and Patience are making cookies. They are ready to drop balls of dough on baking sheets. They have baking sheets made of t
soldi70 [24.7K]

The answer is Copper



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2 years ago
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For point (i):

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For point (ii):

  • In this regard, we cannot use straightforward regression, even as non-biased price estimation might not even be provided.
  • The price-distance relationship here is not so much linear.

For point (iii):

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Learn more:

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2 years ago
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